Answer:
25
Step-by-step explanation:
Answer:
(-1,1)
Step-by-step explanation:
5x+2y= -2, x= -1/3 - 2/3y
5( -1/3 - 2/3y) +3y= -2
y= 1
x= -1/3 - 2/3 × 1
x= -1
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.
Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑ = 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187
Answer:
x = 6
Step-by-step explanation:
When 2 chords of a circle intersect then the product of the parts of one is equal to the product of the parts of the other, that is
2x = 3 × 4, that is
2x = 12 ( divide both sides by 2 )
x = 6
Answer
2nd one
(2,-2) ordered pair -4 y-intercept